A rocket takes off from Earth's surface, accelerating straight up at 37.2 m/s2. Calculate the normal force (in N) acting on an astronaut of mass 85.9 kg, including his space suit. (Assume the rocket's initial motion parallel to the +y-direction. Indicate the direction with the sign of your answer.)

A flea jumps by exerting a force of Flea = -1.52 x 10-5 ĵ N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of = ( 10-5 î + 2.44 × 10¬5 k) N on the flea. Find the acceleration of the flea if its mass is 6.00 x 10-/ kg. Express your answer in vector form. Assume that the +x axis is to the Fwind -4.64 right, the +y axis is up along the page, and the +z axis is out of the screen towards you as shown in the figure below. -77.33i – 25.33j + 40.66k a =

Part B: You are pushing a cart in grocery store at a constant velocity of 2.00 m/s in the straight ahead direction. A retail worker in a hurry rushes by and accidentally shoves the cart with a force of 420 N directly to the right. You immediately supply a counter force to keep the cart rolling in the ORIGINAL (straight ahead) direction. What force (magnitude and direction) did you supply to keep the cart moving straight ahead? You should not need to do any calculation for this problem.

Determine the force Q-> when the block moves with constant velocity. Express your answer in vector form.