the particle is equal to 2.5 kg. Which of the following best describes the direction (acute angle from the horizontal and sense) of the acceleration of the particle? A ABCD D 4.780 13.28 O 26.87 85.22 5.6 N 7.45 N 45° 65° 4.42 N 45°
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- Akash and Beth are on skateboards. Beth and her skateboard have a combined mass of 62 kg. Akash and his skateboard have a combined mass of 150 kg. Beth pushes Akash to the left with a force of 120N. Assume no friction. What are the accelerations of Beth (+ skateboard) and Akash (+ skateboard)?The magnitudes of the forces as shown in the figure are: F_1 = 80.0N, F_2 = 60.0N and F_3 = 40.0N. a) Determine the components of the force, b) the resultant force acting on the particle, and c) the direction of the resultant force.wo forces are acting on a 1.08 kg object. One force is directed completely in the negative x direction and has a magnitude of 8.3 N, The second force has a magnitude of 7.5 N and is directed 28∘28∘ to the right of the negative y axis. Assume standard Cartesian coordinates. Find the magnitude of the acceleration of the object
- A 10.0 kg mass is acted on by the two forces: and F1=(3.0N)i+(2.0N)j and F2=(10.0N)i+(7N.0)7 a) Express the summation of these two forces in unit vector notation. That is: b) What is the acceleration of this mass while these forces are acting? Write your answer in unit vector notation. c) What is the direction of the acceleration (give the angle of acceleration with the x axis)?In God of War, Kratos pushes a canoe with his son in it across the sand towards water. Kratos applies a force of 751. N in the positive direction while friction causes a 395. N horizontal force is applied in the opposite direction. What is the net force on the boat?A rocket sled decelerates at a rate of a =197 m/s^2. Its passenger has a mass of 73.5 kg. a. Calculate the horizontal component of the force the seat exerts against his body. b. Compare his weight by using a ratio. The horizontal component of the forice is how many times his weight. Calculate the magniture and direction of the total force the seat exerts against his body.
- A father gives his son a ride by pulling on a sled. The father pulls the sled across the ground with a force F =75.0 N, directed 30° above %3D (Consider Newton's Laws and the forces/components} the horizontal (as shown). The combined mass of his son and sled is 44.0 kg. What normal force does the ground exert on the sled? O 394 N 485N O 270 N N 69Three 0.300-kg billiard balls are placed on a table at the corners of a right triangle as shown in the figure. The sides of the triangle are of lengths a = = 0.500 0.400 m, b = 0.300 m, and c = m. Calculate the magnitude of the resultant force, F. m2 F. F21 m1 b. m3 7.66 x 10^-11 N 5 x 10^-11 N 3.5 x 10^-11 N 4.35 x 10^-11 NQuestion 5. A 21.3-g bullet is fired from a rifle. It takes 2.40 × 10-³ s for the bullet to travel the length of the barrel, and it exits the barrel with a speed of 730 m/s. Assuming that the acceleration of the bullet is constant, find the average net force exerted on the bullet. Ans: 6479 N IN Question 6. A planet has a mass of 707 is the 2000
- A horizontal force, F1 = 55 N, and a force, F2 = 17 N acting at an angle of 0 to the horizontal, are applied to a block of mass m = 3.9 kg. The coefficient of kinetic friction between the block and the surface is uk 0.2. The block is moving to the right. = Randomized Variables F₁ = 55 N F₂=17 N m = 3.9 kg o vi ble. on d ed ed FN=46.72 (b) Solve numerically for the magnitude of acceleration of the block, a in m/s², if 0 = 30°. (a) Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if 0 = 30°. ✓ Correct! a = 15.487 tan() П acos() E 14 sinh() 1 * 1 tanh() cotanh() Degrees O Radians 2 0 VO BACKSPACE sin() cos() cotan() asin() atan() acotan() cosh() Submit Hint . Feedback 7 85 9 6 3 I give up! • DEL HOME ← END y. CLEAR X Hk m 0Problem 5: An object of mass m has these three forces acting on it (there is no normal force, "no surface"). F = 3 N, F2 = 10 N, and F3 = 5 N. When answering the questions below, assume the x-direction is to the right, and they-direction is straight upwards. F, F What is the net force in component form, in terms of F1, F2, F3, and the unit vectors i and j F = 7 8 HOME a F| i j 4 5 y d. F1 1 | 2 3 F2 F3 +| - END h P vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! What is the magnitude of the net force, in newtons? What is the angle e, in degrees, of the net force, measured from the +x-axis? Enter an angle between -180° and 180°. What is the magnitude, Ja of the acceleration, in meters per square second, if the block has a mass of 8.9 kg?A cart of mass 8.0kg was moved by applying two constant forces. Force 1 is 28.0N at 42.0 degrees, and Force 2 is 13.0N at 110 degrees. Initially, the cart has a velocity of (3.50i + 2.20j)m/s. a. Express the two forces in unit-vector notation.b. Find the total force exerted on the cart.c. Find the angle at which the total force is applied.d. What is the acceleration of the cart?e. What is the cart's velocity after 5.0s?f. What is the position of the cart after 5.0s?g. What is the angle of the position after 5.0s?h. What is the total work done by the two applied forces?