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- The following ramp has a slope of 14.0∘and a co-efficient of friction of μk=μk= 0.290. The mass of the box on the ramp, M, is unknown, but the mass hanging from down is given as 70.0 kg and the system accelerates to the right with an acceleration of a=a= 4.00 m/s2m/s2 (as shown below). Looking for: The force of tension in the rope will be: The mass, MM, of the box on the ramp is:You are driving along a straight section of road at 13 m/s when 10 m in front of you a furry creature jumps out into the middle of the road. You instantly slam on your breaks, but the breaks lock so that you slide along the pavement with kinetic coefficient of friction between the tires and the pavement of 0.65. By what distance do you stop short of running over the furry creature or by what distance is your roadkill dinner behind you when your car finally comes to a halt? Note that the total mass of the car (including you) is 1360 kg, while the mass of the furry creature is 2.6 kg.Some physics students are studying periodic motion using an oscillating mass on a spring. After collecting data, they sketched the position versus time graph shown. If the spring constant is 5.84N/m, then what is the mass, in kilograms?
- Question 3. The cart shown in figure below moves with constant deceleration changing the speed from v0 = 5 m/s to v1 = 1 m/s. After 2 seconds when it reaches the speed v1 it suddenly stops. Write the displacement of the mass as a function of time. Mass m moves without friction on the surface of the cart. Assume positive direction from left to right (direction of motion of the cart). Numerical values: m = 2 kg, k = 1.152 kN/m. V k Ans: x(t) = 3.472 cos 24 t + 41.6 sin 24 t (mm) m LA 1700 kg car is driving down a highway at a constant velocity when a deer jumps out onto the road 59.6 m ahead. The coefficient of friction between the car tires and the road is 0.21. Calculate the initial velocity of the car if it is able to stop just before hitting the deer. (You do not need to account for reaction time of the driver. Assuming the car is breaking the entire 59.6 m distance and that friction is the only force stopping the car.) v0 = m/sFind the unknown mass of the block 1 needed to balance the bar. Assume that the mass of the bar is negligible. Block 1 is located 0.85 m left of the center of the bar. Blocks 2 and 3 are located at 0.25 m and 0.50 m right of the center of the bar. The masses of the blocks 2 and 3 are showed. Give the result in the nearest whole number. Do not include units in the result. Hint: the only acting force is the weight. This problem is about torque. Use the gravity acceleration on Earth, g = 10 m/s2 0.5 m 0.85 m 0.25 m 2 3 m2 = 1.5 kg m3 = 2 kg %3D ¿ = 'u
- A 0.500 kg hammer is moving horizontally at 6.50 m/s when it strikes a nail and comes to rest after driving the nail 1.00 cm into a board. Assume constant acceleration of the hammer–nail pair. (a) Calculate the duration of the impact (in s). ______s (b) What was the average force (in N) exerted on the nail? (Enter the magnitude.) ______N3) A bar with length `, and mass m is held horizontally by two massless cords as in Figure 1. The bar has non-uniform density, so its center of mass xcm is not necessarily at the center of the bar. The left cord attaches to the wall with angle θ, the right with angle φ. Express all answers in terms of m, g, φ, and θ (or subsets thereof). (i) Draw a diagram with all forces on the bar at their respective locations. (ii) What is the tension in the left cord? Give your answer in terms of m, g, θ, and φ. (iii) What is the tension in the right cord? Give your answer in terms of m, g, θ, and φ. (iv) What is the location of the bar’s center of mass xcm relative to the left most point of the bar (as indicated in Figure 1).A hammer of mass m = 0.465 kg is moving horizontally at a velocity of v = 4.5 m/s when it strikes a nail and comes to rest after driving the nail a distance Δx = 0.95 cm into a board Part A) what is the duration of the impact, in seconds, assuming the acceleration of the hammer is constant? Part B) what is the average force, in newtons, exerted on the nail?
- In the movie The Rocketeer, a teenager discovers a jet-powered backpack in an old barn. The backpack allows him to fly at incredible speeds. In one scene, however, he uses the backpack to rapidly accelerate an old pickup truck that is being chased by “bad guys.” He does this by bracing his arms against the cab of the pickup and firing the backpack, giving the truck the acceleration of a drag racer. Is the physics of this scene “Good,”“Bad,” or “Ugly?” Draw and Explain.ycla 3. A car travelling at 122 km/h strikes a tree, the front end of the car compresses, and the driver comes to rest after traveling 0.558 m. What was the average acceleration of the driver during the collision? Express your answer in terms of g's (1.00g = 9.80 m/s'). g's %3D Given the fact that humans can withstand a maximum of 25 g's for a short time without brainy injury, what would the condition of this driver most likely be? Impact khl l