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A cannon is fired at 30 degrees from the ground and the cannonball has initial velocity of 15 m/s. What is the height of the highest point the cannonball reaches and how far is this point horizontally from the cannon?

With this type of question always draw a diagram with the values on it. We can assume the positive direction is upwards. Start with considering the vertical motion and use SUVAT. s= ? (this is what we are lo...
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Answered by Elena V. • Physics tutor
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2 identical trolleys of mass M(one is loaded with 2 blocks of mass m) are on a ramp inclined at 35° and are connected by a wire that passes around a pulley at the top of the ramp. They are released and accelerate accordingly. Show that a=(mgsin35°)/(M+m).

Construction of Free Body Diagrams of the Trolleys and resolving the forces (Weight and Tension) components acting parallel to the ramp (assuming friction and air resistance are negligible) show that for Tro...
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Answered by Neophytos V. • Physics tutor
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If a box full of feathers and a box full of bricks were to be dropped at the same time and from the same height, which one would hit the ground first?

In a vacuum (no air): -Both boxes fall at the same rate and hit the ground at the same time. -Gravity accelerates all objects equally at 9.8 m/s², regardless of mass. In real-world conditions (with air): -Ai...
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Which is heavier, a ton of feathers or a ton of lead?

They're both the same. The feathers would take up a lot more space though! Feathers have a lower density than lead (i.e. for the same volume, feathers are less heavy). In practice, if you drop a tonne of fea...
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Answered by Francis N. • Physics tutor
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Given that z = 6 is a root of the cubic equation z^3 − 10z^2 + 37z + p = 0, find the value of p and the other roots.

Okay, first, we will tackle this by using the information given to us (z=6) to solve for p. By substituting 6 wherever there is a z, we will end up with 216 - 360 + 222 + p = 0.Solving this through rearrange...
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Answered by Andrew W. • Physics tutor
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