two ropes are attached to a 40kg object. the rope with 50 N force points along a
ID: 306815 • Letter: T
Question
two ropes are attached to a 40kg object. the rope with 50 N force points along a direction 37 degrees from the positive x-axis, and the other rope with an 85 N force points along a direction 200 degrees. what is the acceleration of the object ? two ropes are attached to a 40kg object. the rope with 50 N force points along a direction 37 degrees from the positive x-axis, and the other rope with an 85 N force points along a direction 200 degrees. what is the acceleration of the object ? two ropes are attached to a 40kg object. the rope with 50 N force points along a direction 37 degrees from the positive x-axis, and the other rope with an 85 N force points along a direction 200 degrees. what is the acceleration of the object ? Phsics Il Exam2 Electricity & Magnetism MarvOYIONSas Date: 1. A RL series open circuit with a battery of 15 volts has R- 3.5 ohms and L-12.5 Henries. When the circuit is then closed, find the time for the voltage across the resistor to reach-10 volts. A) 1.2075 sec B) 1.820388 sec C) 42 sec D) 80625 sec /E)924 sec 2. A toroid of permittivity of 16004Pi X 107) and 1100 turns of wire and circumference of 4 m is cut so that a gap of 0.9 cm. What is the B-field amount in the gap when the current in the wire wrapping the toroid is 1.8 A? A) 0.196 TB) 0.528 T C) 0.0432T D) 0.269 Tesla E) 0.130909 T 3. A cireular 1oopcan current ot 1.5 A 1a or in a nagnetie tield ot 11 t. The loop has an area ot 0.136364 m. and is mounted on an axis, perpendieular to the magnetic tield, which allows the loop to rotate. What is the torque on the loop when its plane is oriented at a 40 angie to the field? A) 5 N-m B) 0.7095 N-m 1.724 N-m D) 78 N-m E) 4.54 N-m 4. Two resistors of values 6 and 12 are connected in parallel. This combination in turn is hooked in series with a9aresistor and a 12 v battery. What is the current in t resistor? 2 V battery. What is the current in the 9 A) 1 A ?) 1.125 A C) 43.2 A(D) 0.923 A E) 7.5 A 80 v 5. If I goes to the right through R, I goes to the right through R, and I goes to the right through R, what is the resulting equation resulting from applying Kirchhoft's loop rule for a clockwise loop around the perimeter ot the circuit? 9.0 V D) 9.0 V IRIR 6. If the size of the charge value is changed 3.5 for both of two point charges and their separation is changed by a factor of 3X, the mutual force between them will be changed by what factor? A) 2.905 B) 3.15 C1.361 D) 0.66815 E) 0.772 metal wire has a radius of 1.2 em and a resistance of 2.7 x 10s a. What is the sistivity of the meta1? A) 3.05 x 10-8a-m B) 3.24 x 10-9 Q- C) 1.44 x 10-8 ?-m D) 1.78 x 10-8 Q-m E) 1.08 x 10-8 0-Explanation / Answer
m = mass of object = 40 kg
F1 = 50 Cos37 i + 50 Sin37 j = 39.93 i + 30.09 j
F2 = 85 Cos200 i + 85 Sin200 j = - 79.87 i - 29.07 j
Net force is given as
Fnet = F1 + F2
Fnet = (39.93 i + 30.09 j) + (- 79.87 i - 29.07 j)
Fnet = - 39.94 i + 1.02 j
acceleration is given as
a = Fnet /m
a = (- 39.94 i + 1.02 j )/40
a = - 0.9985 i + 0.0255 j
magnitude : sqrt((- 0.9985)2 + (0.0255)2) = 0.9988
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