.A vehicle of mass 120 kg is moving with a uniform velocity of 108km/h . The force required to stop the vehicle in 10 s is
Question
.A vehicle of mass 120 kg is moving with a uniform velocity of 108km/h . The force required to stop the vehicle in 10 s is
Solution
Step 1: Convert the velocity from km/h to m/s The conversion factor is 1 km/h = 5/18 m/s. So, 108 km/h = 108 * (5/18) = 30 m/s.
Step 2: Use the formula for force The formula for force is F = ma, where F is the force, m is the mass, and a is the acceleration.
Step 3: Find the acceleration The acceleration is the change in velocity divided by the change in time. In this case, the vehicle is stopping, so the final velocity is 0. The initial velocity is 30 m/s, and the time is 10 s. So, the acceleration is (0 - 30 m/s) / 10 s = -3 m/s^2. The negative sign indicates that this is a deceleration.
Step 4: Substitute the mass and acceleration into the formula for force F = (120 kg) * (-3 m/s^2) = -360 N. The negative sign indicates that the force is acting in the opposite direction of the motion of the vehicle, which makes sense because the force is stopping the vehicle.
So, the force required to stop the vehicle in 10 s is 360 N.
Similar Questions
A car moving with a velocity 10m/s can be stopped by the application of a constant force F in a distance of 20m. If the velocity of the car is 30m/s. If can be stopped by this force in
The force required to stop a car of mass 800 kg moving at speed of 20 m/sec over distance of 25 m in 2.5 sec is
HT) Calculate the resultant force which is required to uniformly decelerate a car of mass 2000 kg to rest from an initial velocity of 20 m/s over a period of 10 seconds.40 kN4000 kN4 kN400 kNCHECK YOUR ANSWERS
Look at the equation below. How much force would it take for a 1000 kg car that is travelling at 30 m/s to come to a stop within 3 seconds?
A car of mass 1000 kg travelling at a speed of 36 Km/hris brought to rest over a distance of 20m. What is average retardation
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.