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What is the formula for power?
A spring attached to the wall is connected to a block on the other end. The spring is stretched 47 cm away from the wall and then let go. The spring has a spring constant of 208 N/m. If the net force on the spring is 111 N 28° below the horizontal, and assuming the mass of the spring is negligible, what is the mass of the block?
A 3 kg ball rests on top of a spring on the ground and the weight of the ball compresses the spring a distance of 3 cm. What is the spring constant of the spring?
A car moves with a speed of 1800km/hr, calculate the distance travelled in half a minute
Two hollow spheres of radius R=10\,\mathrm{cm}
R=10cm are made of copper and connected with a cylindrical copper rod of length L=1\,\mathrm{m}
L=1m and radius r=1\,\mathrm{mm}
r=1mm. The total mass of this dumbbell-like system is m=150\,\mathrm{g}
m=150g. The entire system is in a very strong magnetic field B=2\,\mathrm{MT}
B=2MT which is perpendicular to the rod. This “dumbbell” is given an initial velocity v=1\,\mathrm{m/s}
v=1m/s which is parallel to the direction of the rod. However, this orientation is unstable: the “dumbbell” will start oscillating; eventually, these oscillations decay so that the “dumbbell” will take a stable orientation and a new final speed u
u. Find an expression for this terminal speed u
u analytically and evaluate it numerically. The “dumbbell” moves in weightlessness in a total vacuum.
14. A drive shaft of radius 15 cm has an angular frequency of 100 rpm. Determine
a) The tangential velocity
b) The centripetal acceleration
- An object whose mass is 0.05 kg is moving at a rate of 100 m/s. What force will be needed to stop the object in 0.14 s?
A continuous aligned fibre-reinforced composite is produced containing 36% aramid fibres of tensile strength 2.24GPa and the remainder of polycarbonate with tensile strength 99 MPa. What is the longitudinal strength of the composite in MPa?
Show the energy consideration of harmonic oscillator at any time t and show that the energy decreases exponentially at a faster rate , E(t)= E0e-2βt where E0= 1/2KA2
a vehicle of mass m moving without friction with speed v.suddenly, rain starts falling vertically(relative to the road) such that per unit time,mass b falls on the vehicle,comes to rest relative to it, and says within it. determine the vehicle velocity as a function of time, up to a time it can contain all the falling
