WASHINGTON — Ten days before a new deadline for broad, automatic government spending cuts, the sense of urgency that surrounded other recent fiscal crises is absent. Government agencies are preparing to absorb an $85 billion hit to their budgets, and politicians, at least for now, seem willing to accept the consequences.

President Barack Obama, back from a Florida golfing weekend, warned Tuesday that “people will lose their jobs” if Congress doesn’t act. Lawmakers weren’t in session to hear his appeal, and they aren’t coming back to work until next week.

Still dividing the two sides are sharp differences over whether tax increases, which Obama wants and Republicans oppose, should be part of a budget deal.

Obama cautioned that if the immediate spending cuts, known as sequestration, occur, the full range of government will feel the effects. Among those he listed were furloughed FBI agents, reductions in spending for communities to pay police, firefighters and teachers, and decreased ability to respond to threats around the world.

“So far at least, the ideas that the Republicans have proposed ask nothing of the wealthiest Americans or the biggest corporations,” Obama said at a White House event against a backdrop of firefighters and other emergency personnel. “So the burden is all on the first responders, or seniors or middle-class families.”

Aides said Obama is ready to take his case more directly to the public in an effort to pressure Republicans, either by traveling to vulnerable states or, as the White House often does, through local media interviews. They said neither Obama nor White House officials are now engaged in direct negotiations with Republican leaders.

The spending cuts aren’t perceived to be as calamitous as the threatened results of recent fights over the nation’s borrowing authority and the “fiscal cliff” that would have cut spending and increased tax rates on all Americans paying income taxes.

Failure to raise the debt ceiling would have left the government with no money to spend on myriad programs and could have precipitated an unprecedented default. The fiscal cliff had the potential of setting back the economic recovery.

Many Republicans now see the automatic cuts in spending as the only way to tackle the federal deficit, and some liberals won’t balk because they want cuts in Pentagon spending.