Problem 2: A 68 kg sprinter starts a race with an acceleration of 5.4 m/s². Randomized Variables m = 68 kg a = 5.4 m/s2 What is the magnitude of the net external force on him in N? Numeric : A numeric value is expected and not an expression. Fnet =
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- A 1060 kg artillery shell is fired from a battleship. While it is in the barrel of the gun, it experienced an acceleration of 2.1x10^4 m/s^2. Randomized Variables M=1060kg A=2.1x10^2 m/s^2 (A) what net force is exerted on the artillery shell before it leaves the barrel of the gun (in Newton’s)? (B) what is the magnitude of the force exerted on the ship by the artillery shell in Newton’s?A golf ball of mass m = 0.18 kg is dropped from a height h. It interacts with the floor for t = 0.11 s, and applies a force of F = 17.5 N to the floor when it elastically collides with it. Randomized Variablesm = 0.18 kgt = 0.11 sF= 17.5 N Write an expression for the ball's velocity, v, in terms of the variables m, t, and F, just after it rebounds from the floor. (Hint: The fact that the collision is elastic is important when solving this problem.) What is the magnitude of the ball's velocity v, in meters per second, right after it rebounds? How high h, in meters, will the ball travel on the rebound?Horizontal force, F1= 85N, and a force, F2= 18.8 N acting at an angle of theta to the horizontal, or apply to a block of mass M equals 2.7 KG. The coefficient of kinetic friction between the block in the surface is I’m=0.2z the block is moving to the right. Randomized Variables F1=85 N F2=18.8 N M=2.7 kg (A) solve numerically for the magnitude of the number force, Fn in Newton, that acts on the block if theta equals 30°. (b) solve numerically for the magnitude of acceleration of the block, a in m/s^2, if theta= 30 degrees. 
- A high-performance dragster with the mass of 1390 kg can accelerate at a rate of a=22 m/s^2. randomized Variables M=1390 kg A= 22m/s^2 (A) write an expression for the magnitude of the net force, f net,  that propels the dragster forward in terms of the variables provided. (B) if the track is L=400m long, what is the numerical value of the dragsters final speed, vf in m/s?Consider a box of mass 8.5 kg begin accelerated along the floor at 3.1 m/s^2. Randomized Variables M=8.5 kg Ax=3.1 m/s^2 If this block is being accelerated from rest for a time period of 12s, what is the net work, in joules, being done on it?A teenager of mass m1 = 61 kg pushes backward against the ground with his foot as he rides his skateboard. This exerts a horizontal force of magnitude Ffoot = 10.5 N. The skateboard has m2 = 2.7 kg. Randomized Variables Ffoot = 10.5 Nm1 = 61 kgm2 = 2.7 kg a) Write an expression for the magnitude of the horizontal component of force that the ground exerts on the teenager's foot, Fground. b)Write an expression in terms of given quantities for the magnitude of the skateboard's acceleration, a, while the teenager is pushing backwards on the ground. c)What is the numerical value for the magnitude of the acceleration, a, in m/s2?
- Problem 9: A horizontal force, F1 = 95 N, and a force, F2 = 19.7 N acting at an angle of θ to the horizontal, are applied to a block of mass m = 2.1 kg. The coefficient of kinetic friction between the block and the surface is μk = 0.2. The block is moving to the right.Randomized VariablesF1 = 95 NF2 = 19.7 Nm = 2.1 kg Part (a) Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°. Part (b) Solve numerically for the magnitude of acceleration of the block, a in m/s2, if θ = 30°. SO FOR A I GOT 10.73 AND IT WAS WRONG AND FOR B I GOT 52.34 WHAT AM I DOING WRONG??????///A crate with a mass of m=330 kg rest on the horizontal deck of the ship. The coefficient of static friction between the crate and the deck is us=0.71. The coefficient of kinetic friction is uk =0.49. Randomized variables M= 330 kg Us= 0.71 Uk = 0.49 (A) write an expression for the minimum force, Fm, that must be applied to get the block moving from rest. (B) is the magnitude of the force FM in newtons? (C) write an expression for the force FV that must be applied to keep the block moving at a constant velocity. (D) what is the magnitude of the force FV in newtons?A car moving at 12 m/s crashes into a tree and stops in 0.22 s. Randomized Variables v = 12 m/s t = 0.22 s m = 68 kg F= 3709.1 Part (a) What would the final velocity be, in meters per second, if the car with the 68-kg passenger had collided with (and stuck to) a car that has a mass equal to and is traveling in the opposite direction and at the same speed?
- A student of mass m1= 57 kg stands on a long cart of mass m2=135 kg initially at text. He begins to run in the cart with a speed relative to the ground of v1=3.3 m/s. Randomized Varibles M1= 57 kg M2= 135 Kg V1= 3.3 m/s (A) write an expression for the horizontal component of the carts velocity relative to the ground while the student is running, in terms of the variables given in the problem statement. Assume the student is running in the positive X direction. (B)  what is the velocity in meters per second? (C) what is the horizontal component of the students velocity relative to the cart, in meters per second? Use a coordinate system fixed to the cart which has the same orientation for the X axis as a system fix to the ground we defined in part (a).The IKAROS spacecraft, launched in 2010, was designed to test the feasibility of solar sails for spacecraft propulsion. These large, ultralight sails are pushed on by the force of light from the sun, so the spacecraft doesn't need to carry any fuel. The force on IKAROS's sails was measured to be 1.12 mNmN. If this were the only force acting on the 290 kgkg spacecraft, by how much would its speed increase after 9.0 months of flight? Assume there are 30 days in each month.How would you solve this: In the search for the Higgs Boson, it was posited that the potnetial energy storedbetween two higgs particles is given by a 1 dimensional function of the distancebetween the two particles (x) as U(x) = c + ax2 − bx4 where a, b, c are constants.a) Find a function for the force as a function of position.b) what value of position (x) is the equilibrium position in terms of a and b.