Express 1 dyne in SI units (Newton):

Calculate 3.24 * 2.1 with proper significant figures:

The centripetal force F on a body depends on mass m, speed v, and radius r. By dimensional analysis, F equals:

A vernier caliper has 20 VSD = 19 MSD. 1 MSD = 1 mm. The least count is: <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 360 100" style="max-width:360px;margin:0.5em auto;display:block;"> <title>Vernier caliper — 20 VSD matching 19 MSD</title> <rect width="360" height="100" fill="#faf9f5" rx="8"/> <text x="180" y="18" text-anchor="middle" font-family="sans-serif" font-size="11" font-weight="600" fill="#14140f">20 VSD = 19 MSD</text> <!-- Main scale bar --> <rect x="30" y="30" width="300" height="15" fill="#faf9f5" stroke="#14140f" stroke-width="1"/> <text x="10" y="42" font-family="sans-serif" font-size="8" fill="#14140f">M</text> <!-- Vernier scale bar --> <rect x="30" y="45" width="285" height="12" fill="#faf9f5" stroke="#c6613f" stroke-width="1"/> <text x="10" y="55" font-family="sans-serif" font-size="8" fill="#c6613f">V</text> <!-- Marks showing alignment at ends --> <line x1="30" y1="28" x2="30" y2="60" stroke="#788c5d" stroke-width="1.5"/> <line x1="330" y1="28" x2="330" y2="45" stroke="#14140f" stroke-width="1"/> <line x1="315" y1="45" x2="315" y2="60" stroke="#c6613f" stroke-width="1"/> <text x="30" y="72" font-family="sans-serif" font-size="10" fill="#14140f">1 VSD = 19/20 mm = 0.95 mm</text> <text x="30" y="88" font-family="sans-serif" font-size="10" fill="#c6613f">LC = 1 MSD − 1 VSD = 1 − 0.95 = 0.05 mm</text> </svg>

X = a^2*b^3/(c*sqrt(d)). The percentage errors in a, b, c, d are 1%, 2%, 3%, 4% respectively. The percentage error in X is: