A rope is used to drag a box across a rough warehouse floor. the rope is at an angle of 30 degrees above the horizontal and the force on the box by the rope is T. if the box has a mass of 15 kg, experiences a friction drag force of 75 Newtons, and is accelerating horizontally at 0.5 m/s^2, what is the value of T? A. 7.5 N
B. 37.5 N
C. 75 N
D. 82.5 N
E. 95.3 N

Acar tire contains 0.0380 m^3 3 of air at a pressure of 2.20 ×10^{5} 5 n/m^2 2 (about 32 psi). how much more internal energy does this gas have than the same volume has at normal atmospheric pressure, 1.01x10^5 5 pa?

What is the efficiency of an engine that does 80 j of work and exhausts 320 j of heat while taking in 400 j of heat ? a. 10% b. 20% c. 80% d. 25%

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect