A 60.0 kg astronaut is exploring a distant planet in our solar system with their 210 kg rover (car-like vehicle). Together, the astronaut and rover weigh 1026 N. They come across a 2.00 × 102 m wide canyon. There is a natural 6.00-m high rock feature shaped like a 45° ramp. Assume both sides of the canyon are otherwise level.
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- (Figure 1)A bob of mass mm is suspended from a fixed point with a massless string of length LL (i.e., it is a pendulum). You are to investigate the motion in which the string moves in a cone with half-angle θθ. How long does it take the bob to make one full revolution (one complete trip around the circle)? Express your answer in terms of some or all of the variables mm, LL, and θθ, as well as the free-fall acceleration gg.Circular Motion: Please provide answers vertically. Thank You. A roller coaster is going over a hill with a radius of 20 m. a) How fast does it have to go for passengers to feel weightless at the top? b) Suppose the roller coaster was running on the Moon, where the acceleration is only 1.7 m/s^2. How fast would it need to travel for you to feel weightless there?PRACTICE ANOTHER Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 13,200 kg. The thrust of its engines is 33,000 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s2.) (a) Calculate its magnitude of acceleration in a vertical takeoff from the Moon. m/s2(b) Could it lift off from Earth? If not, why not? Yes, the thrust of the module's engines is equal to its weight on Earth. No, the thrust of the module's engines is less than its weight on Earth. No, the thrust of the module's engines is equal to its weight on Earth. Yes, the thrust of the module's engines is greater than its weight on Earth. If it could, calculate the magnitude of its acceleration. (If not, enter NONE.) m/s2
- PRACTICE ANOTHER Q2. A bag of apples weighs 3.00 lb on Earth. What would it weigh on the Moon, where the free-fall acceleration is one-sixth that on Earth? Give your answer in units of newtons. N What would it weigh on the surface of Pluto, where g is 0.0673 times that on Earth? Give your answer in units of newtons. N What is the mass of the bag of apples in kilograms at each of the three locations? Earth kgMoon kgPluto kg1) A man pushes a 20.0 kg lawn mower with a force of 80.0 N directed along the handle, which is inclined at 30.0° to the horizontal as shown in the figure below. (a) If he moves at constant velocity, what is the impeding force due to the ground? (b) What force along the handle would produce an acceleration of 1.25 m/s' given the same impeding force? I need to show all work draw picture(Figure 1)A bob of mass mmm is suspended from a fixed point with a massless string of length LLL (i.e., it is a pendulum). You are to investigate the motion in which the string moves in a cone with half-angle θθtheta. How long does it take the bob to make one full revolution (one complete trip around the circle)? Express your answer in terms of some or all of the variables mmm, LLL, and θθtheta, as well as the free-fall acceleration ggg.
- Newton's Laws of MotionSituation 1. To model a spacecraft, a toy rocket engine is securely fastened to a large puck that can glide with negligible friction over a horizontal surface, taken as the xy plane. The 4.00-kg puck has a velocity of 3.001 m/s at one instant. Eight seconds later, its velocity is to be (8.00% +10.00)). m/s. Assuming that the rocket engine exerts a constant horizontal force, A. Find the x and y components of the force? B. Find the magnitude of the resultant force? C. A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t² - 1 and y = 33 +2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 2.00 s.Newton's Law of Motion 1) An electron, whose mass is 9.11 x 10 - 31 kg, leaves one end of a TV picture tube with zero initial speed and travels in a straight line to the accelerating grid, which is 2 cm away. It reaches the grid with a speed of 2.80 x 106 m/s. If the accelerating force is constant, compute (a) the electron’s acceleration, (b) the time it takes for the electron to reach the grid, and (c) the net force. You can ignore the gravitational force on the electron.(COLLAB) Simulate projectile motion with air resistance in PhysLab. A shuttlecock is launched from the ground with an initial speed of 33.4933 m/s at an angle of 5.3538 degrees with respect to the horizontal. The shuttlecock experiences air resistance with a drag coefficient of 0.147 in an environment where the air density is 0.233 kg/m3. If the shuttlecock has a radius of 3.4 cm and a mass of 5.2 grams, what is the maximum height reached by the shuttlecock? Assume that the experiment is done near the surface of the earth.
- You and you friend are sitting on the floor in an empty room a distance, d, apart, and you both have an equal mass. Assume the only force acting on you and your friend is the gravitational force you each exert on each other. No other forces are present. Question #1: a. How long will it take due to gravitational forces before you and your friend meet directly in the middle? Note: You may assume the acceleration remains constant throughout the motion. b. In reality, the acceleration is not constant and is continually changing. Why is this? c. If the acceleration is changing, what effect will this have on the derived time? Will the time increase, decrease, or stay the same? Why? BTW: This is a homework assignment and NOT a graded test. I follow the honor code. When I read over the questions, they seem really vague and I'm having trouble conceptualizing what they're asking. Thanks!(Figure 1)Block 1, of mass m1, is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude a and that the coefficient of kinetic friction between block 2 and the plane is μ. Find the ratio of the masses m1/m2. Express your answer in terms of some or all of the variables a, μ, and θ, as well as the magnitude of the free-fall acceleration g.