Suppose that a 1000 kg car is traveling at 25 m/s (55 mph). It brakes and slides across the road with a force of friction of 5000 N acting on it.  What is the minimum distance required for the car to stop? Make a quantitative force diagram. Write a force (N2L) equation for the axis along which forces are not balanced.

The 80 kg man pushes on the 120 kg crate with a horizontal force F. The coefficients of static and kinetic friction between the crate and the surface are Us = 0.3 and Uk = 0.2. The coefficients of static and kinetic friction between the man and the surface are Us = 0.8 and Uk = 0.5. a. Calculate the normal force generated by the surface on the man and the crate. b. Using the information from part a, prove that the man will be able to move the crate c. what is the greatest acceleration the man can give the crate?

A decoration hangs at rest on a string. A second, horizontal string is knotted to the first, pulling it to the right. The top section of the first string is at an angle of 25° to the vertical. The tension in the horizontal string is 0.8N and acceleration due to gravity is 9.8 ms-2.  A. State the 3 forces acting on the knot and draw a force diagram to represent them. B. Find expressions for the component forms of the 3 forces, using the Cartesian unit vectors i and j. C. Find the mass of the decoration, to 2 s.f.

Two blocks of masses M1=3.5 kg and M2=5.7 kg are at rest on a horizontal surface with a coefficient of friction uk = 0.12. You start them moving by pushing on block 1 with a force F1H = 33 N at an angel of theta = 42 degrees below the horizontal. Draw free body diagrams for M1 and M2 and label each force and what type of force it is, if known, which object causes the force and which object feels the force. Choose and label a coordinate system for your free body diagrams and apply N2L to the free body diagrams you have drawn in each direction. Determine the magnitude of the kinetic friction force on each block.

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Suppose a car approaches a hill and has an initial speed of 120 km/h at the bottom of the hill. The driver takes her foot off of the gas pedal and allows the car to coast up the hill. Note: the 790-kg car with an initial speed of 120 km/h is observed to coast up a hill and stops at a height 21 m above its starting point. a.) What is the magnitude of the average force of friction, in newtons, if the hill has a slope 2.7° above the horizontal?

Suppose you pull a suitcase with a strap that makes a 60° angle with the horizontal. The magnitude of the force you exert on the suitcase is 40 Ib. a. Find the horizontal and vertical components of the force. b. Is the horizontal component of the force greater if the angle of the strap is 30° instead of 60°? c. Is the vertical component of the force greater if the angle of the strap is 30° instead of 60°? a. Consider the figure (not to scale) to the right. It shows the force vector F along with its horizontal and vertical components, F, and Fy, respectively. Which of the following formulas will correctly evaluate F Fx and Fy? TO O A. F, = F| sin 0 and F, = F| cos 0 O B. F = |F| tan 0 and F, = |F| cot0 O C. F=|F| cos 0 and F, = |F| sin 0 O D. Fy = |F| cot 0 and F, = |F| tan 0

Starting from a standstill, Abi (mass = 55.00 kg) performs a vertical jump. b.) During the jump, a vertical ground reaction force of 660.00 N is exerted on her body. Assuming the ground reaction force and her weight are the only forces acting on her body in the vertical direction, what is the sum of the vertical forces acting on Abi during this jump?

An object of mass m is subject to a drag force with magnitude |D| = kv", where k is a positive constant, v is the velocity, and n is a constant integer. The object starts at the origin with initial velocity vo in the positive x-direction. There are no other forces acting on the object. a) What is the equation of motion for this system?. b) What is the velocity of the object as a function of time? c) What is the maximum distance the particle will travel before stopping? (Hint: find the velocity as a function of position).

A sled and rider have a total mass of 60.0 kg. They are on a snowy hill. The coefficient of kinetic friction between the sled and the snow is 0.150. The angle of the hill's slope measured upward from the horizontal is 24.0°. What is the acceleration of the rider?Is the acceleration greater, less than, or equal to your result if a more massive rider uses the same sled on the same hill? Explain.