A car can take a turn of radius 50 m at a maximum speed of 35 m/s on a flat road. The coefficient of friction is (g = 10 m/s^2):

A 2 kg mass is whirled in a vertical circle of radius 1 m. If the speed at the bottom is 7 m/s, the tension at the bottom is (g = 10 m/s^2): <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 340 200" style="max-width:340px;margin:0.5em auto;display:block;"> <title>Vertical circle — find tension at bottom</title> <rect width="340" height="200" fill="#faf9f5" rx="8"/> <defs><marker id="ah-q06s2q4" markerWidth="8" markerHeight="6" refX="8" refY="3" orient="auto"><polygon points="0 0, 8 3, 0 6" fill="#c6613f"/></marker></defs> <circle cx="170" cy="90" r="65" fill="none" stroke="#14140f" stroke-width="1.5" stroke-dasharray="5,3"/> <circle cx="170" cy="155" r="6" fill="#c6613f"/> <text x="180" y="158" font-family="sans-serif" font-size="10" fill="#14140f">2 kg</text> <line x1="170" y1="149" x2="170" y2="110" stroke="#c6613f" stroke-width="2" marker-end="url(#ah-q06s2q4)"/> <text x="175" y="126" font-family="sans-serif" font-size="10" fill="#c6613f">T = ?</text> <line x1="170" y1="161" x2="170" y2="190" stroke="#14140f" stroke-width="2" marker-end="url(#ah-q06s2q4)"/> <text x="176" y="188" font-family="sans-serif" font-size="10" fill="#14140f">mg</text> <line x1="164" y1="155" x2="128" y2="155" stroke="#788c5d" stroke-width="2" marker-end="url(#ah-q06s2q4)"/> <text x="108" y="152" font-family="sans-serif" font-size="10" fill="#788c5d">v=7</text> <text x="240" y="90" font-family="sans-serif" font-size="10" fill="#14140f">r = 1 m</text> </svg>

A 0.5 kg ball on a 2 m string completes a vertical circle. If speed at bottom is sqrt(50) m/s, the speed at the top is (g = 10 m/s^2):

A ball on a string enters a vertical circle with speed v = 2*sqrt(gL) at the bottom. It will:

A car travels at 72 km/h around a curve of radius 100 m. The centripetal acceleration is: