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How much power is required for a 100 kg woman to climb a ladder 10 meters in height in 10 seconds?
When she reaches the top of the ladder, her potential energy has increased by
M G H = (100) (9.8) (10) = 9,800 joules.
Spread over 10 seconds, her potential energy increases at the rate of 980 watts.
She has to work at at least that rate plus more, since muscular activity is never 100% efficient.
By the way, this is a very fast climb. It might not be obvious from any of the numbers
discussed so far. But consider that 980 watts is 1.32 horsepower, which is a mighty
effort for any human being. Of course, being a 100-kg (220-lb) woman, she may well
be accustomed to it.
What else can I help you with?
How high up a building will a ladder reach if it is 6 meters high and it's base is 1 meter?
To determine how high the ladder reaches, we can use the Pythagorean theorem. The ladder forms a right triangle with the height of the building and the distance from the building to the base of the ladder. In this case, the ladder is the hypotenuse (6 meters), the base is 1 meter, and we need to find the height (h). Using the formula ( h = \sqrt{6^2 - 1^2} = \sqrt{36 - 1} = \sqrt{35} \approx 5.92 ) meters. Thus, the ladder reaches approximately 5.92 meters up the building.
A 10 meter ladder is leaning against a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ladder?
5 meters
How much power is required in watts for a 90kg woman to climb a ladder 6 meters in height in 3 seconds?
Work = (force) x (distance) = m g H = (90) x (9.807) x (6) = 5,295.78 joulesPower = work/time = 5,295.78/3 = 1,765.26 watts = 2.366 horsepowerA physically impossible feat, but the math is bullet-proof.
How many meters from the building should the heel of a 10 meter ladder be placed to reach a height of 8 meters?
To find the distance from the building where the heel of a 10-meter ladder should be placed to reach a height of 8 meters, we can use the Pythagorean theorem. Let ( d ) be the distance from the building. The equation is ( d^2 + 8^2 = 10^2 ). This simplifies to ( d^2 + 64 = 100 ), resulting in ( d^2 = 36 ), thus ( d = 6 ) meters. Therefore, the heel of the ladder should be placed 6 meters from the building.
How much power is required in watts for a 90 kg woman to climb a ladder 6 meters in height in 3 seconds?
To calculate the power required, we first need to determine the work done against gravity, which is given by the formula ( \text{Work} = m \cdot g \cdot h ), where ( m ) is mass (90 kg), ( g ) is the acceleration due to gravity (approximately 9.81 m/s²), and ( h ) is the height (6 m). This results in ( \text{Work} = 90 \cdot 9.81 \cdot 6 = 5298.6 ) joules. Power is then calculated as ( \text{Power} = \frac{\text{Work}}{\text{Time}} ), so ( \text{Power} = \frac{5298.6 \text{ J}}{3 \text{ s}} \approx 1766.2 ) watts. Therefore, approximately 1766 watts of power is required for the woman to climb the ladder in 3 seconds.
What is the angle of elevation of a ladder leaning against a wall if the ladder is 2 meters long and reaches a height of 1.5 meters?
The angle of elevation of the ladder leaning against the wall is approximately 48.59 degrees.
How high up a building will a ladder reach if it is 6 meters high and it's base is 1 meter?
To determine how high the ladder reaches, we can use the Pythagorean theorem. The ladder forms a right triangle with the height of the building and the distance from the building to the base of the ladder. In this case, the ladder is the hypotenuse (6 meters), the base is 1 meter, and we need to find the height (h). Using the formula ( h = \sqrt{6^2 - 1^2} = \sqrt{36 - 1} = \sqrt{35} \approx 5.92 ) meters. Thus, the ladder reaches approximately 5.92 meters up the building.
How much work is done when a 70kg person climbs a ladder meters tall?
The work done by a 70kg person climbing a ladder depends on the height of the ladder, but can be calculated using the formula work = force x distance. The force is the person's weight (70kg x 9.8m/s^2) and the distance is the height of the ladder.
What is the height of ladder which is leaning at 60 degree from the wall and separated with a distance of 4.2cm from the wall?
cos60=4.2cm/x x=4.2cm/cos60 x=8.4cm Therefore the height of the ladder is 8.4cm. However, i think you mean meters because that is a very tiny ladder lol.
A 15 metre long ladder is placed against a wall in such a way from the wall up to what height does the ladder reach the wall?
15 meters, or less, depending on the angle.
What is the height of a ball dropped from 80 meters after 3 seconds?
The height of the ball after 3 seconds can be calculated using the formula for free fall: ( h = h_0 - \frac{1}{2} g t^2 ), where ( h_0 ) is the initial height (80 meters), ( g ) is the acceleration due to gravity (approximately 9.81 m/s²), and ( t ) is the time in seconds. After 3 seconds, the height is ( h = 80 - \frac{1}{2} \times 9.81 \times (3^2) ), which simplifies to ( h = 80 - 44.145 ). Therefore, the height of the ball after 3 seconds is approximately 35.855 meters.
A 10 meter ladder is leaning against a building The bottom of the ladder is 5 meters from the building How many meters high is the top of the ladder?
5 meters
A 10 meter ladder is leaning against a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ladder?
5 meters
How much power is required in watts for a 90kg woman to climb a ladder 6 meters in height in 3 seconds?
Work = (force) x (distance) = m g H = (90) x (9.807) x (6) = 5,295.78 joulesPower = work/time = 5,295.78/3 = 1,765.26 watts = 2.366 horsepowerA physically impossible feat, but the math is bullet-proof.
How many meters from the building should the heel of a 10 meter ladder be placed to reach a height of 8 meters?
To find the distance from the building where the heel of a 10-meter ladder should be placed to reach a height of 8 meters, we can use the Pythagorean theorem. Let ( d ) be the distance from the building. The equation is ( d^2 + 8^2 = 10^2 ). This simplifies to ( d^2 + 64 = 100 ), resulting in ( d^2 = 36 ), thus ( d = 6 ) meters. Therefore, the heel of the ladder should be placed 6 meters from the building.
How big is a 22 foot ladder in meters?
A 22-foot ladder is equivalent to approximately 6.7 meters.
How much power is required in watts for a 90 kg woman to climb a ladder 6 meters in height in 3 seconds?
To calculate the power required, we first need to determine the work done against gravity, which is given by the formula ( \text{Work} = m \cdot g \cdot h ), where ( m ) is mass (90 kg), ( g ) is the acceleration due to gravity (approximately 9.81 m/s²), and ( h ) is the height (6 m). This results in ( \text{Work} = 90 \cdot 9.81 \cdot 6 = 5298.6 ) joules. Power is then calculated as ( \text{Power} = \frac{\text{Work}}{\text{Time}} ), so ( \text{Power} = \frac{5298.6 \text{ J}}{3 \text{ s}} \approx 1766.2 ) watts. Therefore, approximately 1766 watts of power is required for the woman to climb the ladder in 3 seconds.
