Work = (force) x (distance) = m g H = (90) x (9.807) x (6) = 5,295.78 joules
Power = work/time = 5,295.78/3 = 1,765.26 watts = 2.366 horsepower
A physically impossible feat, but the math is bullet-proof.
5 meters
approx. 50 seconds
19.6 meters / 64.4 ft
Distance of fall in T seconds = 1/2 g T2Distance of fall in 2 seconds = (1/2) (9.8) (2)2 = (4.9 x 4) = 19.6 metersHeight of this particular ball after 2 seconds = (70 - 19.6) = 50.4 meters
50 meters in 10 seconds is faster. you go 5 meters per second in 50 meters per second, and you go 6 meters a second in 5 seconds..
The angle of elevation of the ladder leaning against the wall is approximately 48.59 degrees.
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.
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.
15 meters, or less, depending on the angle.
5 meters
5 meters
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 22-foot ladder is equivalent to approximately 6.7 meters.
approx. 50 seconds
19.6 meters / 64.4 ft
The time required for a stone to fall from a given height can be calculated mathematically. Time equals the square root of two times the distance divided by force of gravity. Time is in seconds, distance in meters, and the force of gravity on Earth is 9.8 meters/second ^2.
Distance of fall in T seconds = 1/2 g T2Distance of fall in 2 seconds = (1/2) (9.8) (2)2 = (4.9 x 4) = 19.6 metersHeight of this particular ball after 2 seconds = (70 - 19.6) = 50.4 meters