A space probe has two engines. Each generates the same amount of force when fired, and the directions of these forces can be independently adjusted. When the engines are fired simultaneously and each applies its force in the same direction, the probe, starting from rest, takes 38.3 s to travel a certain distance. How long does it take to travel the same distance, again starting from rest, if the engines are fired simultaneously and the forces that they apply to the probe are perpendicular?

A flea jumps by exerting a force of 1.32 × 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 1.20 x 10-6 N on the flea. Find the direction and magnitude (in m/s2) of the acceleration of the flea if its mass is 6.0 x 10-7 wind points to the right. We will consider this to be the +x direction and vertical to be the ty kg. (Let us assume that F direction.) magnitude direction m/s² ° (measured clockwise from the vertical)

Rafael drops a hard rubber ball, of mass m = 130 g, onto the pavement. He drops it from a height h1 = 2.9 m, and it bounces back to a height h2 = 1.65 m. While the ball is in contact with the ground, the ground exerts a non-constant force on the ball as shown in the figure. During the time interval Δt1 the force rises linearly to Fmax, and during the time interval Δt2 the force returns linearly to zero as the ball leaves the ground. Refer to the figure. a. Enter an epression for the magnitude of the impulse delivered to the ball by the ground, in terms of Fmax and the time intervals deltat1 and deltat2. b. For the time intervals deltat1 = 3.5 ms and deltat2 = 6.5 ms, what is the magnitude of the maximum force between thr ground and the ball, in newtons?

A shopper in a supermarket pushes a loaded cart with a horizontal force of 13 N. The cart has a mass of 27 kg. (a) How far will it move in 4.0 s, starting from rest? (Ignore friction.) 3.84 m (b) How far will it move in 4.0 s if the shopper places his 30 N child in the cart before he begins to push it? 3.02 Your response differs from the correct answer by more than 10%. Double check your calculations. m Need Help? Read It

An airplane starts from rest on the runway. The engines exert a constant force of 78.0 kN on the body of the plane (mass 9.20 × 104 kg) during takeoff. How far down the runway does the plane reach its takeoff speed of 52.7 m/s?

Under the influence of its drive force, a snowmobile is moving at a constant velocity along a horizontal patch of snow. When the drive force is shut off, the snowmobile coasts to a halt. The snowmobile and its rider have a mass of 125 kg. Under the influence of a drive force of 180 N, it is moving at a constant velocity whose magnitude is 4.76 m/s. The drive force is then shut off. Find (a) the distance in which the snowmobile coasts to a halt and (b) the time required to do so. (a) s= i (b) t= i

A small block with mass 0.200 kg is released from rest at the top of a frictionless incline. The block travels a distance 0.508 m down the incline in 2.00 s. The 0.200 kg block is replaced by a 0.400 kg block. If the 0.400 kg block is released from rest at the top of the incline, how far down the incline does it travel in 2.00 s?

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

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