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(20%) Problem 4: Consider the two vectors: A = (14.6)i + (15.2)} B = (4.88) - (4.19)Ĵ/n25% Part (a) What is the magnitude of the vector C = A - B? C = 1 sin() cotan() atan() cosh() Hints: 0% deduction per hint. Hints remaining: 2 cos() asin() acotan() tanh() O Degrees Submit tan() acos() sinh() cotanh() Radians Hint π(
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A brick of mass m is dropped from a sheer cliff of height h. The wind exerts a force F on the brick. Assume the wind is parallel to the face of the cliff and the ground and F is constant. (Use any variable or symbol stated above along with the following as necessary: g. For all vectors, enter the magnitude.)

The gravitational force exerted on a baseball is 2.28 N down. A pitcher throws the ball horizontally with velocity 15.5 m/s by uniformly accelerating it along a straight horizontal line for a time interval of 185 ms. The ball starts from rest.

In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that 0₁36.0°, 6₂ 54.0°, 055.0°, m₁5.00 kg, and m₂ 8.00 kg. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)

In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that 0₁36.0°, 6₂ 54.0°, 055.0°, m₁5.00 kg, and m₂ 8.00 kg. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)

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 4.20-kg puck has a velocity of 2.001 m/s at one instant. Eight seconds later, its velocity is (6.001 + 8.0j) m/s.

(20%) Problem 3: A displacement vector, d=dx î+ dyj has magnitude d = 149 m and points in a direction = 30.8° measured counterclockwise from the positive y axis./n25% Part (a) Enter an expression for the horizontal component of the vector d using the symbols provided. dx = cos(0) cos(0)| Hints: 0% deduction per hint. Hints remaining: 2 cos(0) î π d Submit sin(0) Ĵ Ꮎ k Hint ^^^ 4 5 6 1 123 0 BACKSPACE + 7 8 9 HOME * Feedback → END DEL CLEAR . I give up! Feedback: 0% deduction per feedback. 25% Part (b) Enter an expression for the vertical component of the vector d using the symbols provided. 25% Part (c) Enter an expression for the vector d in Cartesian unit-vector notation using the symbols provided. A 25% Part (d) What is the sum of the magnitudes, in meters, of the vector components of the vector d?

Problem 2. (15 points) Crank AB of the engine system shown below has a constant clockwise angular velocity of 2000 rpm. The connecting rod BD has a clockwise angular velocity of 62.0 rad/s. The angle 3 = 13.95°. For the crank position shown below, determine the angular acceleration of the connecting rod BD and the acceleration of point D. r=3 in. 40° 1=8 in.. G D P

A simple accelerometer is constructed inside a car by suspending an object of mass m from a string of length L that is tied to the car's ceiling. As the car accelerates the string-object system makes a constant angle of with the vertical.

5.34 •• Consider the system shown in Fig. E5.34. Block A weighs 45.0 N, and block B weighs 25.0 N. Once block B is set into downward motion, it descends at a constant speed. (a) Calculate the coefficient of kinetic friction between block A and the tabletop. (b) A cat, also of weight 45.0 N, falls asleep on top of block A. If block B is now set into downward motion, what is its acceleration (magnitude and direction)? Figure E5.34 B

2. A cat, starting from rest, jumps from the ground and just clears a 4 foot fence. This information is sufficient to calculate which of the following: A) the takeoff speed of the cat; B) the time the cat will be in the air; C) the horizontal distance of the jump; or D) none of these? Justify your answer.