Problem 1: A horizontal force, F1 = 65 N, and a force, F2 = 18.1 N acting at an angle of 0 to the horizontal, are applied to a block of mass m = 4.4 kg. The coefficient of kinetic friction between the block and the surface is u = 0.2. The block is moving to the right. Randomized Variables F1 = 65 N F2 = 18.1 N m = 4.4 kg F,
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Q: Problem 1: A horizontal force, F, = 65 N, and a force, F2 = 18.1 N acting at an angle of 0 to the…
A: We have to calculate the acceleration of the block. Given :- The forces are F1=65 N , F2=18.1 N.…
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- For sport, a 12 kg armadillo runs onto a large pond of level, frictionless ice. The armadillo’s initial velocity is 5.0 m/s along the positive direction of an x axis.Take its initial position on the ice as being the origin. It slips over the ice while being pushed by a wind with a force of 17 N in the positive direction of the y axis. In unitvector notation, what are the animal’s (a) velocity and (b) position vector when it has slid for 3.0 s?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 particle with a mass of 10 kg is moving at a velocity of (3t^2 + 4t)j m/s. What would be the expression for the external net force F(t) being applied to the particle? Note: i and j are unit vectors
- A Block of mass m is moving to the left with a velocity of magnitude v1. At t=0 a force is exerted on the block, pointing to the right with magnitude c1t where c1 is a known constant. How far will the block travel to the left before it reverses its direction of motionConsider the 63 kg ice skater being pushed by two others shown in the figure. The coefficient of static friction is μs=0.4 and kinetic is μk=0.02.Randomized Variablesm = 63 kgF1 = 238 NF2 = 175 N Find the magnitude of Ftot, the total force exerted on her by the others, given that the magnitudes F1 and F2 are 238 N and 175 N, respectively in Newtons. Find the direction of Ftot (in degrees relative to the horizontal), the total force exerted on her by the others, given that the magnitudes F1 and F2 are 238 N and 175 N, respectively .What is the maximum value of the static friction force, in Newtons, that can act on the skater before she moves? What is her acceleration assuming she is already moving in the direction of Ftot in m/s2?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 child bounces a 46 g superball on the sidewalk. The velocity change of the superball is from 21 m/s downward to 13 m/s upward. If the contact time with the sidewalk is 1/800s, what is the magnitude of the average force exerted on the superball by the sidewalk?Answer in units of N.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?A drone is being directed across a frictionless ice covered lake. The mass of the drone is 1.50 kg, and its velocity is 3.00i ^ m/s . After 10.0 s, the velocity is 9.00i ^ + 4.00j ^ m/s . If a constant force in the horizontal direction is causing this change in motion, find (a) the components of the force and (b) the magnitude of the force.
- A particle of mass M is allowed to fall from rest at a distance b from the origin at which a constant force acts that attracts the body according to the inverse square law f (x) _kx² Calculate the time required for the object to reach the origin pointA 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 0.35 kg particle moves in an xy plane according to x(t) = - 17 + 1 t - 5 t3 and y(t) = 18 + 5 t - 10 t2, with x and y in meters and t in seconds. At t = 1.5 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval relative to the positive direction of the xaxis) of the net force on the particle, and (c) what is the angle of the particle's direction of travel?