3. A 1.5 kg hockey puck with an initial velocity of 3 m/s slides 40 m across the ice before coming to a stop. What is the coefficient of kinetic friction between the puck and the ice? Draw the picture the sentence describes. Draw the free body diagram. FN fi mg Vo = 3.0 m/s
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- Mass and Weight The weight of an astronaut plus his space suit on the Moon is only 250 N. (a) How much does the suited astronaut weigh on Earth? (b) What is the mass on the Moon? On Earth?A 200-g hockey puck is launched at an initial speed of 16 m/s up a metal ramp that is inclined at a 30° angle. The coefficients of static and kinetic friction between the hockey puck and the metal ramp are us = 0.40 and uk = 0.30, respectively. a. Sketch the situation and make a motion diagram (including acceleration vector) for the puck. b. Make a foree diagram for the puck at at instant during it's way up the ramp. c. Write an equation representing the sum of forces along the slope and an equation representing the sum of forces perpendicular to the slope, d. Find the friction force between the puck and the ramp. Show all work. e. Find the acceleration of the puck as it travels up the ramp. Show all work. f. Would the puck have greater, sınaller or sane acceleration if it had twice the mass (everything else about the situation being the same)?You push a 40.0 kg box across a floor at a constant velocity of 1.00 m/s. the coefficient of kinetic friction is ?k = 0.15. a. Draw a free body diagram. b. Decide of which type of problem-solving technique you need, inertial or dynamic. c. Determine the value of your push in newtons
- A contestant in a winter sporting event pushes a 45 kg block of ice in the positive direction across a frozen lake as shown in the figure. Assume the coefficients of static and kinetic friction are μs=0.1 and μk=0.03. a. Calculate the minimum force F he must exert to get the block sliding across the ice in newtons. b. What is its acceleration once it starts to move, if that force is maintained in m/s2?SA3. A block is given an initial velocity of 5.00 m/s up a frictionless 20.0° incline. How far up the incline does the block slide before coming to rest? SA4. A man is pulling a crate along a concrete floor. This time, let's be specific. The crate has a mass of 100 kg and the man pulls with a force of 1 250 N. The coefficient of friction between the crate and the floor is 0.2. What is the acceleration of the crate? SA5. A horizontal force of 80 N is used to pull a 20 N wooden box moving toward the right along a horizontal, wood surface as shown. Calculate the magnitude of the frictional force acting on the box. Determine the magnitude of the force acting on the box. Determine the mass of the box. Calculate the magnitude of the acceleration of the box.A 200-g hockey puek is launched at an initial speed of 16 ni/'s up a metal ramp that is inclined at a B0° angle. Thecoefficients of statie and kinetic- friction between the hockey puck and the metal ranp are us =0.40 and uk=0.30, respectively. a. Sketch the situation and make a motion diagram (including acceleration vector) for the puck. b. Make a force diagram for the puck at at instant during its way up the ramp. c. Write an equation representing the sum of forces along the slope and an equation representing the sum of forces perpendicular to the slope. d. Find the friction force between the puck and the ramp. Show all work. e. Find the acceleration of the puck as it travels up the ramp. Show all work. f. Would the puck have greater, sımaller or saine acceleration if it had twice the mass (everything else about the situation being the same)?
- Your forehead can withstand a force of about 6.0 kN before fracturing, while your cheekbone can only withstand about 1.3 kN. a. If a 140 g baseball strikes your head at 30 m/s and stops in 0.0015 s, what is the magnitude of the ball’s acceleration? b. What is the magnitude of the force that stops the baseball? c. What force does the baseball apply to your head? Explain. d. Are you in danger of a fracture if the ball hits you in the forehead? In the cheek?A car skids to a stop on an icy road. The car has an initial velocity of 25.0 m/s and skids for 10.4 s before stopping. The mass of the car is unknown. a. Calculate the acceleration of the car. b. Draw the free-body diagram with the forces, but without their magnitudes. c. Find the coefficient of kinetic friction, ?k , between tires and the road. (Tricky. You don’t know the car’s mass, but you don’t have to know it. The mass cancels from the equation.)A person lying in a bunk bed pushes a 5 kg block across the ceiling. He uses a force P of magnitude 80 N and angle θ = 70°. The coefficient of kinetic friction between the block and the ceiling is 0.4. a. Draw the free body diagram of the block. b. What is the magnitude and direction of the block’s acceleration?
- 2. A 1,480-N crate is being pushed across a level floor at a constant speed by a force F of 370 N at an angle of 20.0° below the horizontal, as shown in the figure a below. The floor has some amount of friction. 20.0° a a. Draw a free body diagram of all the forces on the crate. b. Write out one equation for the y component of the resultant force. Hint: The crate does not move in the y direction. Write out one equation for the x component of the resultant force. Hint: the crate moves in the x direction. C. d. Determine the Normal force. e. What is the coefficient of kinetic friction between the crate and the floor? (Enter vour answer to at least three decimal places.)A 23 kg child goes down a straight slide inclined 38° above horizontal. The child is acted on by his weight, the normal force from the slide, and kinetic friction.a. Draw a free-body diagram of the child.b. How large is the normal force of the slide on the child?Nicholas, Brianna, Dylan and Chloe are practicing their hockey on frozen Bluebird Lake. As Dylan and Chloe chase after the 0.162 kg puck, it decelerates from 10.5 m/s to 8.8 m/s in 14 seconds. a. Determine the acceleration of the puck.b. Determine the force of friction experienced by the puck.c. Determine the coefficient of friction between the ice and the puck.