To calculate the force required to drive the light truck up the slope, we can use the gravitational force component acting along the slope. The weight of the truck is ( F_g = m \cdot g = 3500 , \text{kg} \cdot 9.81 , \text{m/s}^2 = 34,335 , \text{N} ). The elevation gain is 200 m, so the force required to overcome gravity along the slope is ( F = F_g \cdot \sin(\theta) ), where (\theta) can be found using the slope length and height. The slope's angle can be calculated using (\sin(\theta) = \frac{200 , \text{m}}{500 , \text{m}} = 0.4), resulting in a required force of approximately 13,734 N.
14000N is the correct answer
100 and 600 WHAT?
To calculate the work done against gravity when driving your light truck up the slope, you can use the formula for gravitational potential energy: ( W = mgh ), where ( m ) is the mass (3500 kg), ( g ) is the acceleration due to gravity (approximately 9.81 m/s²), and ( h ) is the height gained (200 m). This gives ( W = 3500 , \text{kg} \times 9.81 , \text{m/s}² \times 200 , \text{m} = 6,867,000 , \text{J} ) or 6.87 MJ. Thus, the work done in driving up the slope is 6.87 megajoules.
When counter lines on a map are far apart, it indicates a gentle slope or a gradual change in elevation over a distance. This suggests that the terrain is relatively flat or has a mild incline, making it easier to traverse. In contrast, closely spaced counter lines indicate a steep slope or significant elevation change.
To show a gentle slope from a steep slope, you can use a visual representation, such as a graph or diagram, where the steep slope transitions gradually into a more gradual incline. This can be achieved by illustrating a curve that starts steep and then flattens out, indicating a decrease in the angle of ascent. Additionally, you can use descriptive language to convey the change in steepness, emphasizing the smooth transition and the gradual reduction in elevation.
1400N
14000N is the correct answer
14000N
Assuming the truck maintained a constant speed up the slope, the work done to raise the truck's elevation against gravity would be equal to the gain in its potential energy. The force required to perform this work would be the component of the truck's weight parallel to the slope, which can be calculated using trigonometry.
Answer is 14000N.
100 and 600 WHAT?
To determine the gravitational potential energy gained by the truck when it ascends a slope, we can use the formula for potential energy: ( PE = mgh ), where ( m ) is the mass (3500 kg), ( g ) is the acceleration due to gravity (approximately 9.81 m/s²), and ( h ) is the height gained (200 m). Calculating this gives: ( PE = 3500 , \text{kg} \times 9.81 , \text{m/s}^2 \times 200 , \text{m} = 6,867,000 , \text{J} ) or approximately 6.87 MJ. Since we are assuming no friction, the force exerted by the truck to overcome gravity on the slope is equal to the component of gravitational force acting along the slope, which can be calculated using the sine of the slope angle if needed, but the total energy required to reach the top is what we calculated.
Contour lines on a on a topographic map indicate elevations. Since elevation changes gently on gentle slopes the contour lines are further apart. Elevation changes rapidly on a steep slope so the contour lines are closer together.
Friction on a water slide can be reduced by using smoother materials for the slide surface, adding water to the slide to create a slippery layer, or applying a lubricant to the slide surface. Additionally, designing the slide with a gentle slope can help minimize friction.
Contour lines that are far apart indicate a gentle slope. Because contour lines connect points with the same elevation, wide spacing indicates that the elevation is not changing drastically.
Gradual elevation refers to a slow and steady increase in height or altitude over a period of time. It typically involves a gentle slope or incline rather than a sudden or steep rise. Gradual elevation can be beneficial for acclimatization when engaging in activities such as hiking or skiing in high altitude environments.
When contour lines are farther apart, it indicates a gentle slope or gradual change in elevation in the terrain. This means the change in elevation over a given distance is more gradual.