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1 Time 50 min No : Phys 101 Midterm 1 . Name : Beker Fall '80 . Grade : Total Grade : Question 1 : Find a vector of length 15 and perpendicular to...

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1 Time 50 min Phys 101 Midterm 1 H. Beker Fall '80 No : . Name : . Total Grade : . Grade : . Question 1 : Find a vector of length 15 and perpendicular to both 2 ˆ ˆ A i j = + = + = + = + a and 2 ˆ ˆ B i k = + = + = + = + a . ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 H. Beker Question 1 : Find a unit vector that is perpendicular to both 4 ˆ ˆ ˆ A i j k = - + = - + = - + = - + a and ˆ ˆ ˆ B i j k = + - = + - = + - = + - a . ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 Question 4 : Find the T for : a) 0 = μ b) 2 . 0 = μ c) 4 . 0 = μ . ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 ?? ?? Question 4 : A force F pushes M such that m is stationary with respect to M : a) Draw the free body diagram for m b) Draw the free body diagram for M c) Find the friction between M and m d) Find the friction between M and the table e) Find the minimum necessary force F ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 Question 4 : The position of a 3 kg object is given by j t i t t r ˆ 2 ˆ ) ( 2 - = a (in MKS units) . (a) Find the kinetic energy at 1 = t sec , (b) Find the kinetic energy at 2 = t sec , (c) Find the work done in that time interval . ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 F. Neyzi Question 4 : A model airplane of mass M flies in a horizontal circle with constant speed 0 v at the end of a string of length l . The string makes a constant angle θ with the horizontal. The aerodynamic lift acts perpendicular to the string as shown. Find the tension T in the string in terms of M , 0 v , l , θ , g. ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 Question 4 : A particle moving in 1-D with constant acceleration passes two consecutive equal space intervals, each length s , in times t 1 and t 2 . Find the acceleration in terms of s , t 1 , t 2 . ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 ?? ?? Question 4 : Calculate the maximum possible acceleration a max . ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ 1 kg g = 10 m/sec 2 4 kg T μ μ μ = = s k s k μ μ , F M m g F LIFT θ l T 100 N 10 kg θ g μ = 3/4
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2 Phys 101 Midterm 1 H. Beker Question 2 : Find the angle of projection at which the horizontal range is twice the maximum height reached by a projectile. ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 H. Beker Question 3 : Find the tension on the cord. ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 H. Beker Question 4 : A mass M is whirled around in a vertical circle. The tension of the string at the bottom is twice the tension at the top. Find T b in terms of mg . ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 H. Beker Question 5 : A block slides down an inclined plane of inclination Ө with constant velocity . It is then projected up the same plane with an initial speed v 0 . How far up the incline will it move before coming to rest ? ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 H. Beker Question 6 : A object with mass 2m and speed v explodes into two equal pieces in a gravity-free space. One piece comes to rest. How much kinetic energy was added to the system by the explosion. ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 H. Beker Fall '80 Question 2 : A train travels 32 km with a speed of 64km/hr, then it travels another 130 km with a speed 52 km/hr. Calculate the average speed both in km/hr and m/sec. ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 H. Beker Fall '80 Question 3 : Two cars A and B are traveling in the same direction with velocities 40 m/sec and 10/msec respectively. When car A is at a distance of 150 m behind car B, it starts to decelerate with deceleration “a” . Find the minimum deceleration “a” to avoid collision of the two cars. ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 H. Beker Fall '80 Question 4 : A stone is thrown with an initial velocity of 50m/sec making an angle of 37° with the horizontal. If the stone was thrown 160 m away from a building which is 25 m high, find the range R on the roof the building. ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ Phys 101 Midterm 1 H. Beker Question 1 : A particle moving 1- D with constant acceleration passes two consecutive equal spaces, each of length s , in times t 1 and t 2 . Find the acceleration a in terms of s , t 1 and t 2 . ₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪₪ μ =0.1 6 kg g T 2 kg 150 m 40m/sec A B 10m/sec 50m/sec 37° 25m 160 m R
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