You are pulling your younger sister along in a small wheeled cart. You weigh 65.0 kg and the combined mass of your sister and the cart is 35.0 kg. You are pulling the cart via a short rope which you pull horizontally. You hold one end of the rope and your sister holds the other end. If you are accelerating at a rate of 0.10 m s−2, the rope is inelastic, and the frictional force acting upon the cart is 30 N: a) What is the tension in the rope? (b) What force are you applying to the ground in order to produce this acceleration?

Two horizontal forces,  P and Q, are acting on a block that is placed on a table. We know that  P is directed to the left but the direction of Q is unknown; it could either be directed to the right or to the left. The object moves along the x-axis. Assume there is no friction between the object and the table. Here P = −4.9 N and the mass of the block is 4.4 kg   What is the magnitude and direction of Q (in N) when the block moves with constant velocity?   What is the magnitude and direction of Q (in N) when the acceleration of the block is +6.3 m/s2   Find the magnitude and direction of Q(in N) when the acceleration of the block is −6.3 m/s2

A 74.2 kg person is standing inside an elevator. The elevator is moving upward at 2.98 m/s and is decreasing speed at a rate of 1.18 m/s^2. What is the net force that is acting on the person?

A 58.9 kg person is standing inside an elevator. The elevator is moving upward at 3.68 m/s and is decreasing speed at a rate of 1.29 m/s^2. What is the normal force that is acting on the person?

A 1,910 kg African bush elephant (Loxodonta africana) is pushing a 2,890 kg car. The elephant and the car move forward together with a maximum forward force of 8,750 N. Assuming friction is zero, what is the magnitude of the force (in kN) of the rhinoceros on the car? Enter only the numerical part of your answer to three significant figures.

Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown in the figure. The mass of the left block m1 = 1.2 kg and the mass of the right block m2 = 3.3 kg. The angle between the applied force and the horizontal is θ= 51∘. The coefficient of kinetic friction between the blocks and the surface is μ= 0.27. Each block has an acceleration of a = 1.8 m/s2 to the right.a. calculate the magnitude of applied force in newtonsb. calculate the magnitude tension force between the two blocks in newtons

An electron is a subatomic particle (m= 9.11 x 10-31 kg) that is subject to electric forces. An electron moving in the +x direction accelerates from an initial velocity of +7.31 x 105 m/s to a final velocity of 1.98 x 106 m/s while traveling a distance of 0.0545 m. The electron's acceleration is due to two electric forces parallel to the x axis: F₁ = 7.52 x 10-¹7 N, and F2, which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force F2. F₁ F₁ F₂ F₁ (a) Number i (b) Number i VO X Units Units

Two constant forces act on an object of mass m = 4.30 kg object moving in the xy plane as shown in the figure below. Force F, is 26.5 N at 35.0°, and force F, is 48.0 N at 150°. At time t = 0, the object is at the origin and has velocity (3.50î + 2.15j) m/s. 150° 35.0° (a) Express the two forces in unit-vector notation. F, - N (b) Find the total force exerted on the object. N (c) Find the object's acceleration. m/s2 Now, consider the instant t = 3.00 s. (d) Find the object's velocity. m/s (e) Find its position. (f) Find its kinetic energy from V½mv2. kJ (g) Find its kinetic energy from 2mv,2 + EF · AF. kJ

An object has a velocity (4.04 m/s)i + (-4.96 m/s)j + (4.44 m/s)k. In a time of 3.84 s its velocity becomes (-3.75 m/s)i + (0.00 m/s)j + (4.44 m/s)k. If the mass of the object is 2.97 kg, what is the magnitude of the net force on the object, in N, during the 3.84 s? Assume the acceleration is constant.

Two horizontal forces, P and Q, are acting on a block that is placed on a table. We know that P is directed to the left but the direction of Q is unknown; it could either be directed to the right or to the left. The object moves along the x-axis. Assume there is no friction between the object and the table. Here P = -6.1 N and the mass of the block is 3.8 kg. P (a) What is the magnitudeand direction of Q (in N) when the block moves with constant velocity? (Indicate the direction with the sign of your answer.) 6.1 N (b) What is the magnitude and direction of Q (in N) when the acceleration of the block is +7.5 m/s2. (Indicate the direction with the sign of your answer.) X 22.4 The acceleration given here is due to the net force acting on the object. N (c) Find the magnitude and direction of Q (in N) when the acceleration of the block is -7.5 m/s2. (Indicate the direction with the sign of your answer.) X -34.6 What is the direction of motion of the object when the acceleration is…