An object with a mass m= 250 g is on a plane inclined at 30 degreesabove the horizontal and is attached by a string to a mass m = 150g. there is no friction and mass m hangs freely and isinitially at rest. when mass m has descended a distance h = 10 cm, its speed will be
(a) 35.0 cm/s
(b) 7.0 cm/s
(c) 140 cm/s
(d) 110cm/s
(e) 70.0 cm/s

a) v = 35 cm/s

Explanation:

Here the work done by gravity on two masses is equal to the change in kinetic energy of the two masses

so here in m = 150 g mass moves down then other mass M = 250 g will move up by same distance on inclined plane

so we have

here we know that

so we will have

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

the answer would be   dignified - apex