n mg sin 0 mg cos 0 e F, = mg a Figure 5.12 (Example 5.6) (a) A car on a frictionless incline. (b) The free- body diagram for the car. The black dot represents the position of the center of mass of the car. We will learn about center of mass in Chapter 9.

You have put a sonar device at the top of a frictionless inclined plane, as shown in the diagram below. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. 0 For an angle below the horizontal of 6.46, we see that our object has slid a distance 1.13 m, as measured along the incline itself. Calculate the height change in meters - and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.) h=o 10% O i 26 QUATU 99+ hp X 55 83°F 3:11 PM 10/16/2022 Ctrl 0

A frictionless plane is 10.0 m long and inclined at 42.0°. A sled starts at the bottom with an initial speed of 5.70 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed v. Both sleds reach the bottom of the incline at the same moment. (a) Determine the distance that the first sled traveled up the incline. (b) Determine the initial speed of the second sled.

A monkey pushes a box of mass 25 kg in a straight line across a rough floor. The applied force F has magnitude 85 N and acts downward at an angle 0 = 10° with respect to the horizontal, as shown below. The box is initially at rest at the position x/ a). Find the coefficient of friction between the box and the floor. and it has speed v2 = 0.55 m/s at position x2 = 3.50 m. 0 m, b). What is the net work done? c). How much work (magnitude and sign) is done by the friction force? m Hint: this q involves constant acceleration, Newton's laws, work

A plane has a mass of M = 201 tons takes-off at a speed of Vf = 243 km/hr. If it starts form rest, what should be the minimum acceleration to take off if the length of the runway is L = 1.7 km

A frictionless plane is 10.0 m long and inclined at 30.0°. A sled starts at the bottom with an initial speed of 5.30 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed v₁. Both sleds reach the bottom of the incline at the same moment. (a) Determine the distance that the first sled traveled up the incline. m (b) Determine the initial speed of the second sled. m/s

A loaded sledge of overall mass 90 kg, starting from rest,  slides down a smooth incline of 1 in 10 and takes 10 seconds to reach the bottom of the slope. The speed at the end of the ride and the distance of travel are:

5.12

A box is travelling inside an elevator travelling at uniform acceleration and 5 m/s when the box falls out of the elevator. It takes 1.2 seconds to hit bottom of elevator shaft.  a) How long would it take before the elevator reached maximum height? b) How far did the box fall? c) How far did the box fall in 0.2 seconds?